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14225617872 = 243431213517
BaseRepresentation
bin11010011111110100…
…11011001111010000
31100201102000021010000
431033322123033100
5213113224232442
610311332210000
71012344520404
oct151772331720
940642007100
1014225617872
11603aa99294
122910169900
13145929568b
1498d447104
15583d4cd4c
hex34fe9b3d0

14225617872 has 100 divisors (see below), whose sum is σ = 41197968196. Its totient is φ = 4739005440.

The previous prime is 14225617859. The next prime is 14225617877. The reversal of 14225617872 is 27871652241.

14225617872 is a `hidden beast` number, since 1 + 4 + 2 + 2 + 561 + 7 + 87 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5857759296 + 8367858576 = 76536^2 + 91476^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14225617877) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4043058 + ... + 4046574.

Almost surely, 214225617872 is an apocalyptic number.

14225617872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14225617872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20598984098).

14225617872 is an abundant number, since it is smaller than the sum of its proper divisors (26972350324).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14225617872 is a wasteful number, since it uses less digits than its factorization.

14225617872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6658 (or 6643 counting only the distinct ones).

The product of its digits is 376320, while the sum is 45.

The spelling of 14225617872 in words is "fourteen billion, two hundred twenty-five million, six hundred seventeen thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 3121 3517 6242 7034 9363 10551 12484 14068 18726 21102 24968 28089 28136 31653 37452 42204 49936 56178 56272 63306 74904 84267 84408 94959 112356 126612 149808 168534 168816 189918 224712 252801 253224 284877 337068 379836 449424 505602 506448 569754 674136 759672 1011204 1139508 1348272 1519344 2022408 2279016 4044816 4558032 10976557 21953114 32929671 43906228 65859342 87812456 98789013 131718684 175624912 197578026 263437368 296367039 395156052 526874736 592734078 790312104 889101117 1185468156 1580624208 1778202234 2370936312 3556404468 4741872624 7112808936 14225617872